An improved restricted isometry constant bound of multipath matching pursuit

Renjie Yi; Biao Wu; Hailong Wang; Yang Sun

doi:10.1117/12.2668351

20 April 2023 An improved restricted isometry constant bound of multipath matching pursuit

Renjie Yi, Biao Wu, Hailong Wang, Yang Sun

Proceedings Volume 12602, International Conference on Electronic Information Engineering and Computer Science (EIECS 2022); 126022I (2023) https://doi.org/10.1117/12.2668351
Event: International Conference on Electronic Information Engineering and Computer Science (EIECS 2022), 2022, Changchun, China

Abstract

Multipath matching pursuit (MMP) algorithm is a generalization of the orthogonal matching pursuit (OMP) in the sense that multiple child paths are generated for every candidate per iteration, which increases the chance of selecting the true support and leads to high possibility of exact reconstruction. In this paper, we show that with the proposed constraints on the restricted isometry constant (RIC) of a measurement matrix and the magnitude of the minimum nonzero element of the sparse signal, MMP with given stopping rules could find the true support after the iteration stops. Our bounds on the RIC improve the existing results.

Citation Download Citation

Renjie Yi, Biao Wu, Hailong Wang, and Yang Sun "An improved restricted isometry constant bound of multipath matching pursuit", Proc. SPIE 12602, International Conference on Electronic Information Engineering and Computer Science (EIECS 2022), 126022I (20 April 2023); https://doi.org/10.1117/12.2668351

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